Question

if the length of the hypotenuse of a right triangle is 10, find the length of the other sides when the area is a maximum. ans. 5sqr. 2 x 5sqr. 2

Answer 1

u doin calculus?

Answer 2

Yes.

Answer 3

u need to find x such that area is maximim

Answer 4

Am i going to substitute it atthe eqn 1/2 x (sqrt (100-x^2) ?

Answer 5

right

area\(=f(x)=\frac{1}{2}x \sqrt{100-x^2} \)

Answer 6

easily u can see 0<x<10

so differentiate f(x) and find the x (solving f'(x)=0 ) for which area is max

Answer 7

Thanks :)

Answer 8

Welcome